Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
160 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 160 conjugacy classes of subgroups — too many to draw. Only its 51 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×#14523987 | C2 | semidirect |
| 2. C2×#14523983 | C2 | semidirect |
| 3. #16863637 | C2 | semidirect |
| 4. #16863221 | C2 | semidirect |
| 5. #16863199 | C2 | semidirect |
| 6. #16863197 | C2 | semidirect |
| 28. C67⋊C16 | D4 | semidirect |
| 76. C67 | #2220 | semidirect |